The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel is 7740º. What is the maximum number of people that the Ferris wheel can hold?
The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel is 7740º. What is the maximum number of people that the Ferris wheel can hold?
Assuming that the Ferris wheel is an n-sided polygon, then the sum of all the interior angles of any polygon is 180(n-2) where n = # of sides. Since the sum total of all the angles is 7,740 degrees, set 180(n - 2) = 7740 and you will solve for n, the number of sides in the polygon. Once you know the number of sides, n, then each vertex holds 5 people, so it will be 5 times n.
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